Parametric three-way receiver operating characteristic surface analysis using mathematica

Three-way receiver operating characteristic (ROC) surface analysis involves the calculation of a volume under an ROC surface (VUS), which is a measure of discriminatory accuracy of 2 diagnostic tests for 3 diseases. Nonparametric methods for calculating VUS and its standard error have been developed...

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Bibliographic Details
Published in:Medical decision making 2001-09, Vol.21 (5), p.409-417
Main Author: Heckerling, P S
Format: Article
Language:English
Subjects:
Alcoholism - diagnosis
Alcoholism - psychology
Decision Making
Decision Support Techniques
Diagnosis, Computer-Assisted - statistics & numerical data
Humans
Likelihood Functions
Mathematical Computing
Models, Statistical
ROC Curve
Sensitivity and Specificity
Signal Detection, Psychological
Software
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Summary:Three-way receiver operating characteristic (ROC) surface analysis involves the calculation of a volume under an ROC surface (VUS), which is a measure of discriminatory accuracy of 2 diagnostic tests for 3 diseases. Nonparametric methods for calculating VUS and its standard error have been developed. The author presents the code for roc3D, a Mathematica computer program for performing parametric ROC surface analysis. roc3D calculates VUS assuming a multinormal distribution of test results in the 3 diseased populations, provides user-specified pointwise confidence limits for VUS, and displays a 3-dimensional plot of the ROC surface. Limitations of the roc3D program are discussed.
ISSN:0272-989X
1552-681X
DOI:10.1177/02729890122062703